10027465632 has 120 divisors (see below), whose sum is σ = 29607213636. Its totient is φ = 3329261568.

The previous prime is 10027465621. The next prime is 10027465661. The reversal of 10027465632 is 23656472001.

10027465632 is a `hidden beast` number, since 10 + 0 + 2 + 7 + 4 + 6 + 5 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6672275856 + 3355189776 = 81684^2 + 57924^2 .

It is a super-3 number, since 3×10027465632³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 658618 + ... + 673670.

Almost surely, 2^10027465632 is an apocalyptic number.

10027465632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10027465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803606818).

10027465632 is an abundant number, since it is smaller than the sum of its proper divisors (19579748004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10027465632 is a wasteful number, since it uses less digits than its factorization.

10027465632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15332 (or 15315 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10027465632 in words is "ten billion, twenty-seven million, four hundred sixty-five thousand, six hundred thirty-two".